The command DRAWORDER requests to select individual objects. But if you need to move to back (under all other drawing entities) all images or hatches, you can simplify this process with a menu macro.
In the full version of AutoCAD you can add (using CUI) the following command - LISP expression - to your ribbon or to a keyboard shortcut. It selects all drawing objects of the type Image and changes their draw order to back:
(if (setq _obr (ssget "_X" ‘((0 . "IMAGE"))))(command "_DRAWORDER" _obr "" "_BACK"))
Similarly you can move the objects "HATCH" instead of "IMAGE" - but there is already an existing internal command for this - HATCHTOBACK. The above listed macro is something like an "IMAGETOBACK".
In AutoCAD LT, where there is no AutoLISP, you can use a menu macro with similar functionality:
^C^CSELECTSIMILARMODE;0;_SELECTSIMILAR;\;_DRAWORDER;_back;SELECTSIMILARMODE;130;
It prompts to select an object (select e.g. an image) and then it moves all objects of the same type (e.g. all images) to back.
NOTE: more detailed options for controlling draworder by object type offers the CADstudio DOBT utility.